1) The formula for the final amount A in an investment with principal P and interest I (A=P+I. Determine the principal if A is $7,000.00 and I is $400.00 - is my answer correct
7,000.00 = P + 400.00
P = 7000.00 - 400
P = 6600.00
2) There is a diagram of figure and am asked to find what x is. The perimeter is 24. One side is 4x, another side is 3x + 1 and the other side is 2x - 5. Please help. Txs
To solve for the principal in the first problem, you can use the given formula:
A = P + I
Here, A represents the final amount, P represents the principal, and I represents the interest.
The given values are A = $7,000.00 and I = $400.00. You want to find the value of P.
So, substitute the given values into the formula:
$7,000.00 = P + $400.00
To isolate P, you need to subtract $400.00 from both sides of the equation:
$7,000.00 - $400.00 = P
Simplifying the equation:
$6,600.00 = P
Therefore, the principal is $6,600.00.
Now, let's move on to the second problem.
To find the value of x in the given diagram, you need to set up an equation using the perimeter of the figure, which is given as 24 units.
The perimeter of a figure is the sum of all its side lengths. In this case, you have three sides with lengths 4x, 3x + 1, and 2x - 5.
Set up the equation:
Perimeter = sum of all side lengths
24 = (4x) + (3x + 1) + (2x - 5)
Now, simplify the equation by combining like terms:
24 = 9x - 4
To isolate the variable x, you need to move the constant term to the other side by adding 4 to both sides of the equation:
24 + 4 = 9x
28 = 9x
Finally, solve for x by dividing both sides of the equation by 9:
x = 28 / 9
Hence, x is approximately 3.11.